One More Tool for Understanding Resonance

Details One More Tool for Understanding Resonance One More Tool for Understanding Resonance

2010-03-29

arxiv.org/abs/1003.5543v2

Physics

Mathematical Physics

We criticize the usual teaching of resonance, then suggest an alternative approach, and based on this approach, finally sugges

Scientific paper

We propose the application of graphical convolution to the analysis of the resonance phenomenon. This time-domain approach encompasses both the finally attained periodic oscillations and the initial transient period. It also provides interesting discussion concerning the analysis of non-sinusoidal waves, based not on frequency analysis, but on direct consideration of waveforms, and thus presenting an introduction to Fourier series. Further developing the point of view of graphical convolution, we come to a new definition of resonance in terms of time domain.

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